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A note on rough set and non-measurable set |
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| Authors: | Jian Yu Qiansheng Cheng |
| Institution: | (1) School of Mathematical Sciences, Peking University, 100871 Beijing, China |
| Abstract: | It is proved that rough set is equivalent to non-measurable set in measure theory. Hence, rough set is not a new concept in some sense. At the same time, we defined the measurable degree of a set by inner measure and outer measure. Its special case is the accuracy measure of rough set. |
| Keywords: | rough set non-measurable set inner measure outer measure |
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